Thanks!

Spoiler:

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- January 13th 2011, 12:46 AMDrexel28
- January 13th 2011, 10:01 AMRandom Variable
My solution only involves and . Maybe your solution can be simplified.

EDIT: I found an error in my solution. Your solution is most likely correct. - January 13th 2011, 05:06 PMRandom Variable
I would never have thought to break up the summation like that.

- January 14th 2011, 06:50 AMPaulRS
Here's a nice series:

Compute: - January 15th 2011, 11:08 AMRandom Variable
- January 15th 2011, 11:16 AMchiph588@
- January 15th 2011, 09:20 PMDrexel28
I'm not quite sure how the last step (technically second to last, where you conclude that the sum but with is replaced with tends to zero) is achieved in your proof? Your answer is correct though. I'll leave it for someone else to do, unless no one else wants to?

- January 15th 2011, 10:31 PMchiph588@
- January 16th 2011, 03:11 AMPaulRS
- January 16th 2011, 12:54 PMchiph588@
- January 16th 2011, 02:48 PMchiph588@
Compute

- January 16th 2011, 08:00 PMDrexel28
- January 16th 2011, 08:04 PMDrexel28
What about ?

- January 16th 2011, 08:30 PMchiph588@
- January 16th 2011, 08:33 PMDrexel28